Question

explicar:

a)(3⁴×3)⁸÷(3²×3⁷)⁴=??
b)(5³×5×5⁴÷(5×5³)⁷=??
c)(4⁵×4×4³)⁶÷(4⁴×4)¹⁰=???​

Answer 1

Respuesta:

꧁Holi꧂

Explicación paso a paso:

$\color{blue}\bold{❥RESOLVEMOS:}$

A)(3⁴×3)⁸÷(3²×3⁷)⁴

$\bold{( {3}^{4}x {3} {)}^{8} ( {3}^{9} {)}^{4} }$

$\bold{(3 {x}^{4} \times 3 {)}^{8} \div {3}^{36} }$

$\bold{( \frac{3 {x}^{4} \times 3 {}^{8} }{ {3}^{36} } })$

$\bold{ \frac{6561 {x}^{32} \times 6561 }{ {3}^{36} } }$

$\bold{ \frac{ {3}^{8} {x}^{32} x6561}{ {6}^{36} } }$

$\bold{ \frac{ {3}^{8 {x}^{32} {}^{} }x {3}^{8} }{ {3}^{36} } }$

$\bold{ \frac{ {x}^{32} { \times {3}^{8} } }{ {3}^{28} } }$

$\huge\bold{ \frac{ {x}^{32} }{ {3}^{20} } }$

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B) (5³×5×5⁴÷(5×5³)⁷=

$\bold{5⁸ ÷( 5 × 5³ )⁷}$

$\bold{5⁸ ÷(5⁴ )⁷}$

$\bold{5⁸ ÷5²⁸}$

$\bold{5-²⁰}$

1/5²⁰

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C)(4⁵×4×4³)⁶÷(4⁴×4)¹⁰

✨Calculamos el producto

$\bold{( {4}^{9} {)}^{6} \div ( {4}^{4} \times 4 {)}^{10} }$

$\bold{( {4}^{9} {)}^{6} \div ( {4}^{5} {)}^{10} }$

✨Simplificamos la expresión Multiplicando exponentes

$\bold{ {4}^{54} \div ( {4}^{5} {)}^{10} }$

$\bold{{4}^{54} \div {4}^{50} }$

✨Calculamos el cociente

$\huge{\bold{ {4}^{4} }}$

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